106071100 has 54 divisors (see below), whose sum is σ = 236299112. Its totient is φ = 41328000.

The previous prime is 106071083. The next prime is 106071103. The reversal of 106071100 is 1170601.

It is a super-2 number, since 2×106071100² = 22502156510420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106071103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167785 + ... + 168415.

Almost surely, 2^106071100 is an apocalyptic number.

106071100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118149556).

106071100 is an abundant number, since it is smaller than the sum of its proper divisors (130228012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106071100 is a wasteful number, since it uses less digits than its factorization.

106071100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 106071100 is about 10299.0824834060. The cubic root of 106071100 is about 473.3681397843.

The spelling of 106071100 in words is "one hundred six million, seventy-one thousand, one hundred".